@@ -12,7 +12,7 @@ title: "Table of Contents"
1212<br >
1313<h3 id =" General Theorems " >Chapter I: General Theorems</h3 >
1414
15-
15+
16161 . <p id =" Probability theory " >Probability theory</p >
1717
1818 <p id =" Random experiments " ></p >
@@ -250,7 +250,7 @@ title: "Table of Contents"
250250 &emsp ;&ensp ; 1.21.7. ** [ First central moment is zero] ( /P/momcent-1st ) ** <br >
251251 &emsp ;&ensp ; 1.21.8. ** [ Second central moment is variance] ( /P/momcent-2nd ) ** <br >
252252 &emsp ;&ensp ; 1.21.9. * [ Standardized moment] ( /D/mom-stand ) * <br >
253-
253+
2542542 . <p id =" Information theory " >Information theory</p >
255255
256256 <p id =" Shannon entropy " ></p >
@@ -303,7 +303,7 @@ title: "Table of Contents"
303303 &emsp ;&ensp ; 2.5.8. ** [ Invariance under parameter transformation] ( /P/kl-inv ) ** <br >
304304 &emsp ;&ensp ; 2.5.9. ** [ Relation to discrete entropy] ( /P/kl-ent ) ** <br >
305305 &emsp ;&ensp ; 2.5.10. ** [ Relation to differential entropy] ( /P/kl-dent ) ** <br >
306-
306+
3073073 . <p id =" Estimation theory " >Estimation theory</p >
308308
309309 <p id =" Basic concepts of estimation " ></p >
@@ -320,7 +320,7 @@ title: "Table of Contents"
320320 3.3. Interval estimates <br >
321321 &emsp ;&ensp ; 3.3.1. * [ Confidence interval] ( /D/ci ) * <br >
322322 &emsp ;&ensp ; 3.3.2. ** [ Construction of confidence intervals using Wilks' theorem] ( /P/ci-wilks ) ** <br >
323-
323+
3243244 . <p id =" Frequentist statistics " >Frequentist statistics</p >
325325
326326 <p id =" Likelihood theory " ></p >
@@ -356,7 +356,7 @@ title: "Table of Contents"
356356 &emsp ;&ensp ; 4.3.11. ** [ Distribution of p-value under null hypothesis] ( /P/pval-h0 ) ** <br >
357357 &emsp ;&ensp ; 4.3.12. * [ Minimum detectable effect] ( /D/mde ) * <br >
358358 &emsp ;&ensp ; 4.3.13. * [ Minimum required sample size] ( /D/mrss ) * <br >
359-
359+
3603605 . <p id =" Bayesian statistics " >Bayesian statistics</p >
361361
362362 <p id =" Probabilistic modeling " ></p >
@@ -398,7 +398,7 @@ title: "Table of Contents"
398398 &emsp ;&ensp ; 5.3.5. * [ Variational Bayes] ( /D/vb ) * <br >
399399 &emsp ;&ensp ; 5.3.6. ** [ Decomposition of the free energy] ( /P/fren-dec ) ** <br >
400400 &emsp ;&ensp ; 5.3.7. ** [ Free energy is lower bound on log model evidence] ( /P/fren-lme ) ** <br >
401-
401+
4024026 . <p id =" Machine learning " >Machine learning</p >
403403
404404 <p id =" Scoring rules " ></p >
@@ -415,7 +415,7 @@ title: "Table of Contents"
415415<br >
416416<h3 id =" Probability Distributions " >Chapter II: Probability Distributions</h3 >
417417
418-
418+
4194191 . <p id =" Univariate discrete distributions " >Univariate discrete distributions</p >
420420
421421 <p id =" Discrete uniform distribution " ></p >
@@ -467,7 +467,7 @@ title: "Table of Contents"
467467 &emsp ;&ensp ; 1.5.3. ** [ Mean] ( /P/poiss-mean ) ** <br >
468468 &emsp ;&ensp ; 1.5.4. ** [ Variance] ( /P/poiss-var ) ** <br >
469469 &emsp ;&ensp ; 1.5.5. ** [ Shannon entropy] ( /P/poiss-ent ) ** <br >
470-
470+
4714712 . <p id =" Multivariate discrete distributions " >Multivariate discrete distributions</p >
472472
473473 <p id =" Categorical distribution " ></p >
@@ -487,7 +487,7 @@ title: "Table of Contents"
487487 &emsp ;&ensp ; 2.2.5. ** [ Covariance] ( /P/mult-cov ) ** <br >
488488 &emsp ;&ensp ; 2.2.6. ** [ Shannon entropy] ( /P/mult-ent ) ** <br >
489489 &emsp ;&ensp ; 2.2.7. ** [ Marginal distributions] ( /P/mult-marg ) ** <br >
490-
490+
4914913 . <p id =" Univariate continuous distributions " >Univariate continuous distributions</p >
492492
493493 <p id =" Continuous uniform distribution " ></p >
@@ -637,7 +637,7 @@ title: "Table of Contents"
637637 &emsp ;&ensp ; 3.11.5. ** [ Variance] ( /P/exg-var ) ** <br >
638638 &emsp ;&ensp ; 3.11.6. ** [ Skewness] ( /P/exg-skew ) ** <br >
639639 &emsp ;&ensp ; 3.11.7. ** [ Method of moments] ( /P/exg-mome ) ** <br >
640-
640+
6416414 . <p id =" Multivariate continuous distributions " >Multivariate continuous distributions</p >
642642
643643 <p id =" Multivariate normal distribution " ></p >
@@ -696,7 +696,7 @@ title: "Table of Contents"
696696 &emsp ;&ensp ; 4.5.2. ** [ Probability density function] ( /P/dir-pdf ) ** <br >
697697 &emsp ;&ensp ; 4.5.3. ** [ Kullback-Leibler divergence] ( /P/dir-kl ) ** <br >
698698 &emsp ;&ensp ; 4.5.4. ** [ Exceedance probabilities] ( /P/dir-ep ) ** <br >
699-
699+
7007005 . <p id =" Matrix-variate continuous distributions " >Matrix-variate continuous distributions</p >
701701
702702 <p id =" Matrix-normal distribution " ></p >
@@ -730,7 +730,7 @@ title: "Table of Contents"
730730<br >
731731<h3 id =" Statistical Models " >Chapter III: Statistical Models</h3 >
732732
733-
733+
7347341 . <p id =" Univariate normal data " >Univariate normal data</p >
735735
736736 <p id =" Univariate Gaussian " ></p >
@@ -873,7 +873,7 @@ title: "Table of Contents"
873873 &emsp ;&ensp ; 1.7.2. ** [ Posterior distribution] ( /P/blrkc-post ) ** <br >
874874 &emsp ;&ensp ; 1.7.3. ** [ Log model evidence] ( /P/blrkc-lme ) ** <br >
875875 &emsp ;&ensp ; 1.7.4. ** [ Accuracy and complexity] ( /P/blrkc-anc ) ** <br >
876-
876+
8778772 . <p id =" Multivariate normal data " >Multivariate normal data</p >
878878
879879 <p id =" Multivariate Gaussian " ></p >
@@ -915,7 +915,7 @@ title: "Table of Contents"
915915 &emsp ;&ensp ; 2.5.1. ** [ Conjugate prior distribution] ( /P/mblr-prior ) ** <br >
916916 &emsp ;&ensp ; 2.5.2. ** [ Posterior distribution] ( /P/mblr-post ) ** <br >
917917 &emsp ;&ensp ; 2.5.3. ** [ Log model evidence] ( /P/mblr-lme ) ** <br >
918-
918+
9199193 . <p id =" Count data " >Count data</p >
920920
921921 <p id =" Binomial observations " ></p >
@@ -961,7 +961,7 @@ title: "Table of Contents"
961961 &emsp ;&ensp ; 3.4.3. ** [ Conjugate prior distribution] ( /P/poissexp-prior ) ** <br >
962962 &emsp ;&ensp ; 3.4.4. ** [ Posterior distribution] ( /P/poissexp-post ) ** <br >
963963 &emsp ;&ensp ; 3.4.5. ** [ Log model evidence] ( /P/poissexp-lme ) ** <br >
964-
964+
9659654 . <p id =" Frequency data " >Frequency data</p >
966966
967967 <p id =" Beta-distributed data " ></p >
@@ -978,7 +978,7 @@ title: "Table of Contents"
978978 4.3. Beta-binomial data <br >
979979 &emsp ;&ensp ; 4.3.1. * [ Definition] ( /D/betabin-data ) * <br >
980980 &emsp ;&ensp ; 4.3.2. ** [ Method of moments] ( /P/betabin-mome ) ** <br >
981-
981+
9829825 . <p id =" Categorical data " >Categorical data</p >
983983
984984 <p id =" Logistic regression " ></p >
@@ -991,7 +991,7 @@ title: "Table of Contents"
991991<br >
992992<h3 id =" Model Selection " >Chapter IV: Model Selection</h3 >
993993
994-
994+
9959951 . <p id =" Goodness-of-fit measures " >Goodness-of-fit measures</p >
996996
997997 <p id =" Residual variance " ></p >
@@ -1024,7 +1024,7 @@ title: "Table of Contents"
10241024 &emsp ;&ensp ; 1.4.1. * [ Definition] ( /D/snr ) * <br >
10251025 &emsp ;&ensp ; 1.4.2. ** [ Relationship to coefficient of determination] ( /P/snr-rsq ) ** <br >
10261026 &emsp ;&ensp ; 1.4.3. ** [ Relationship to maximum log-likelihood] ( /P/snr-mll ) ** <br >
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1027+
102810282 . <p id =" Classical information criteria " >Classical information criteria</p >
10291029
10301030 <p id =" Akaike information criterion " ></p >
@@ -1043,7 +1043,7 @@ title: "Table of Contents"
10431043 2.3. Deviance information criterion <br >
10441044 &emsp ;&ensp ; 2.3.1. * [ Definition] ( /D/dic ) * <br >
10451045 &emsp ;&ensp ; 2.3.2. * [ Deviance] ( /D/dev ) * <br >
1046-
1046+
104710473 . <p id =" Bayesian model selection " >Bayesian model selection</p >
10481048
10491049 <p id =" Model evidence " ></p >
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